More quick Bayes: Suppose we have a Beta(0.01, 0.32) prior on the proportion of people who will pledge. I choose this prior because it gives a point-estimate of a ~3% chance of pledging, and a probability of ~95% that the chance of pledging is less than 10%, which seems prima facie reasonable.
Updating on your data using a binomial model yields a Beta(0.01, 0.32 + 14) distribution, which gives a point estimate of < 0.1% and a ~99.9% probability that the true chance of pledging is less than 10%.
More quick Bayes: Suppose we have a Beta(0.01, 0.32) prior on the proportion of people who will pledge. I choose this prior because it gives a point-estimate of a ~3% chance of pledging, and a probability of ~95% that the chance of pledging is less than 10%, which seems prima facie reasonable.
Updating on your data using a binomial model yields a Beta(0.01, 0.32 + 14) distribution, which gives a point estimate of < 0.1% and a ~99.9% probability that the true chance of pledging is less than 10%.